A NOTE ON THE CONVERGENCE BEHAVIOR OF GMRES

Authors
CAO ZH
Citation
Zh. Cao, A NOTE ON THE CONVERGENCE BEHAVIOR OF GMRES, Applied numerical mathematics, 25(1), 1997, pp. 13-20
Citations number
10
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied numerical mathematics → ACNP
ISSN journal
01689274
Volume
25
Issue
1
Year of publication
1997
Pages
13 - 20
Database
ISI
SICI code
0168-9274(1997)25:1<13:ANOTCB>2.0.ZU;2-S
Abstract
In this note we generalize the results on the convergence behavior of GMRES for solving symmetric linear systems as discussed by Paige et al . (1995) to for solving nonsymmetric linear systems. Moreover, we show that the weak point in the comparison process, which was used by van der Vorst and Vuik (1993) to study superlinear convergence behavior, c an be overcome easily. (C) 1997 Elsevier Science B.V.